1020132213300 has 216 divisors, whose sum is σ = 3320876122200. Its totient is φ = 261708226560.

The previous prime is 1020132213283. The next prime is 1020132213307. The reversal of 1020132213300 is 33122310201.

1020132213300 is a `hidden beast` number, since 1 + 0 + 20 + 132 + 213 + 300 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 509461902756 + 510670310544 = 713766^2 + 714612^2 .

It is a super-2 number, since 2×1020132213300² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020132213307) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2791596 + ... + 3135804.

Almost surely, 2^{1020132213300} is an apocalyptic number.

1020132213300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020132213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660438061100).

1020132213300 is an abundant number, since it is smaller than the sum of its proper divisors (2300743908900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1020132213300 is a wasteful number, since it uses less digits than its factorization.

1020132213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344355 (or 344345 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1020132213300 its reverse (33122310201), we get a palindrome (1053254523501).

The spelling of 1020132213300 in words is "one trillion, twenty billion, one hundred thirty-two million, two hundred thirteen thousand, three hundred".